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Finding the Fourth Proportional to 16,969.12, 25,444.02 and 6,971.02

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Solution

The fourth proportional to 16,969.12, 25,444.02 and 6,971.02 is: 10,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.12 : 25,444.02 = 6,971.02 : x
  2. Step 2: Convert to fraction form
    16,969.12/25,444.02 = 6,971.02/x
  3. Step 3: Cross multiply
    16,969.12x = 25,444.02 × 6,971.02
  4. Step 4: Simplify right side
    16,969.12x = 177,370,772.30
  5. Step 5: Solve for x
    x = 177,370,772.30/16,969.12
  6. Step 6: Final answer
    x = 10,452.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.